The dynamics of aloof baby Skyrmions

TL;DR

This paper investigates the dynamic behavior of aloof baby Skyrmions, revealing complex scattering phenomena and demonstrating that a binary species particle model effectively describes their interactions.

Contribution

It presents the first study of soliton dynamics in the aloof baby Skyrme model, linking numerical simulations with a simplified particle model for the first time.

Findings

Exotic scattering events observed in simulations.

Binary species particle model qualitatively matches dynamics.

Cluster structures influence scattering behavior.

Abstract

The aloof baby Skyrme model is a (2+1)-dimensional theory with solitons that are lightly bound. It is a low-dimensional analogue of a similar Skyrme model in (3+1)-dimensions, where the lightly bound solitons have binding energies comparable to nuclei. A previous study of static solitons in the aloof baby Skyrme model revealed that multi-soliton bound states have a cluster structure, with constituents that preserve their individual identities due to the short-range repulsion and long-range attraction between solitons. Furthermore, there are many different local energy minima that are all well-described by a simple binary species particle model. In this paper we present the first results on soliton dynamics in the aloof baby Skyrme model. Numerical field theory simulations reveal that the lightly bound cluster structure results in a variety of exotic soliton scattering events that are novel in comparison to standard Skyrmion scattering. A dynamical version of the binary species point particle model is shown to provide a good qualitative description of the dynamics.